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  1. Prepare for an exam
  2. /WBJEE
Exam preparation

WBJEE preparation

WBJEE is the state entrance test of West Bengal for degrees in engineering, technology, pharmacy and architecture. Students who finish Class 12 with Physics, Chemistry and Mathematics take it. It tests those three subjects from the Class 11 and 12 syllabus.

1,368 questions · 855 problems

With a Standard planWith a Premium plan

Paper pattern

The WBJEE exams follow this pattern.

The real exam: Two OMR papers of 2 hours each: Mathematics 75 questions, then Physics 40 and Chemistry 40 questions; all multiple choice with four options, 200 marks in all.

WBJEE syllabus

82 units in Mathematics, Physics and Chemistry. Source: West Bengal Joint Entrance Examinations Board, Information Bulletin WBJEE-2026 (syllabus appendix, bulletin pages 39 to 54), https://cdnbbsr.s3waas.gov.in/s3d2a27e83d429f0dcae6b937cf440aeb1/uploads/2026/03/202603101506582412.pdf (linked from https://wbjeeb.nic.in/wbjee/; uploaded March 2026; read 9 November 2026). Unit titles are the bulletin's chapter headings with its chapter numbers; chapter 21 of Chemistry is a bare heading and is folded into chapter 22.

Mathematics · 22 units

Mathematics, chapter 1

  • Algebra: A.P., G.P., H.P.

Mathematics, chapter 2

  • Logarithms

Mathematics, chapter 3

  • Complex Numbers

Mathematics, chapter 4

  • Polynomial Equation

Mathematics, chapter 5

  • Permutation and Combination

Mathematics, chapter 6

  • Principle of Mathematical Induction

Practice questions and problems

Hardest first. Try each one on paper before you see the answer.

Physics

Questions

  • HardA steel wire 20 m long hangs down a mine shaft under its own weight. By how much does it stretch? (Density of steel 7800 kg/m³, Y = 2.0 × 10¹¹ Pa, g = 9.8 m/s².)
  • HardA body falls from rest from a height R above the Earth's surface. Ignoring air, how fast does it hit the ground? (g = 9.8 m/s², R = 6.4 × 10⁶ m.)
  • Hard

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Mathematics, chapter 7

  • Binomial Theorem (positive integral index)

Mathematics, chapter 8

  • Matrices

Mathematics, chapter 9

  • Sets, Relations and Mappings

Mathematics, chapter 10

  • Relation and its Properties

Mathematics, chapter 11

  • Statistics and Probability

Mathematics, chapter 12

  • Trigonometry

Mathematics, chapter 13

  • Coordinate Geometry of Two Dimensions

Mathematics, chapter 14

  • Straight Lines

Mathematics, chapter 15

  • Circle & Conic Sections

Mathematics, chapter 16

  • Co-ordinate Geometry of Three Dimensions

Mathematics, chapter 17

  • Calculus (Differential Calculus)

Mathematics, chapter 18

  • Rolle's Theorem and Lagrange's Mean Value Theorem

Mathematics, chapter 19

  • Integral Calculus

Mathematics, chapter 20

  • Differential Equations

Mathematics, chapter 21

  • Application of Calculus

Mathematics, chapter 22

  • Vectors
Physics · 24 units

Physics, chapter 1

  • Physical World, Measurements, Units & dimensions

Physics, chapter 2

  • Motion in one dimension and two dimensions

Physics, chapter 3

  • Motion in a Plane

Physics, chapter 4

  • Laws of Motion

Physics, chapter 5

  • Work, power, energy

Physics, chapter 6

  • Motion of system of particles and rigid body

Physics, chapter 7

  • Gravitation

Physics, chapter 8

  • Bulk properties of matter

Physics, chapter 9

  • Viscosity

Physics, chapter 10

  • Heat & Thermal Physics

Physics, chapter 11

  • Thermodynamics

Physics, chapter 12

  • Kinetic theory of gases

Physics, chapter 13

  • Oscillations & Waves

Physics, chapter 14

  • Electrostatics

Physics, chapter 15

  • Current Electricity

Physics, chapter 16

  • Magnetic effect of current and Magnetism

Physics, chapter 17

  • Electromagnetic induction & alternating current

Physics, chapter 18

  • Electromagnetic waves

Physics, chapter 19

  • Optics I (Ray optics)

Physics, chapter 20

  • Optics II (Wave Optics)

Physics, chapter 21

  • Atomic Physics

Physics, chapter 22

  • Nuclear Physics

Physics, chapter 23

  • Solid state Electronics

Physics, chapter 24

  • Semiconductor diode
Chemistry · 36 units

Chemistry, chapter 1

  • Some Basic Concepts of Chemistry

Chemistry, chapter 2

  • Structure of an Atom

Chemistry, chapter 3

  • Classification of Elements and Periodicity in Properties

Chemistry, chapter 4

  • Chemical Bonding and Molecular Structure

Chemistry, chapter 5

  • States of Matter - Solids and Gases

Chemistry, chapter 6

  • Chemical Thermodynamics

Chemistry, chapter 7

  • Equilibrium

Chemistry, chapter 8

  • Solutions

Chemistry, chapter 9

  • Chemical Kinetics

Chemistry, chapter 10

  • Redox Reactions

Chemistry, chapter 11

  • Electrochemistry

Chemistry, chapter 12

  • Organic Chemistry: Some Basic Principles

Chemistry, chapter 13

  • Hydrocarbons

Chemistry, chapter 14

  • Haloalkanes

Chemistry, chapter 15

  • Haloarenes

Chemistry, chapter 16

  • Alcohols

Chemistry, chapter 17

  • Phenols

Chemistry, chapter 18

  • Ethers

Chemistry, chapter 19

  • Aldehydes, Ketones and Carboxylic Acids

Chemistry, chapter 20

  • Carboxylic Acids

Chemistry, chapter 22

  • Nitro compounds and Amines (Organic compounds containing Nitrogen)

Chemistry, chapter 23

  • Cyanides and Isocyanides

Chemistry, chapter 24

  • Diazonium salts

Chemistry, chapter 25

  • Carbohydrates

Chemistry, chapter 26

  • Proteins

Chemistry, chapter 27

  • Nucleic Acids

Chemistry, chapter 28

  • Polymers

Chemistry, chapter 29

  • s-Block Elements (Group 1 and Group 2 elements)

Chemistry, chapter 30

  • p-Block Elements

Chemistry, chapter 31

  • Group 13 to Group 18 elements

Chemistry, chapter 32

  • d and f Block Elements

Chemistry, chapter 33

  • Lanthanoids

Chemistry, chapter 34

  • Actinoids

Chemistry, chapter 35

  • Coordination Compounds

Chemistry, chapter 36

  • Environmental Chemistry

Chemistry, chapter 37

  • Qualitative and Quantitative Analysis
1.0 mol of a monatomic gas is mixed with 1.0 mol of a diatomic gas. What is γ for the mixture?
  • HardA cup of soup cools from 80 °C to 70 °C in 5.0 minutes in a room at 20 °C. Using the average temperature in each interval, how long does it take to cool from 70 °C to 60 °C?
  • HardA 40 g ice cube at 0 °C is put into 0.25 kg of juice (treat it as water) at 30 °C. What is the final temperature once the ice has melted? (Latent heat of fusion 3.34 × 10⁵ J/kg, c = 4186 J kg⁻¹K⁻¹.)
    • More Physics questions for WBJEE →

    Problems with worked solutions

    • HardA lead bullet at 30 °C hits a steel plate at 340 m/s and stops…
    • HardA steel wire (1.5 mm²) and a copper wire (2.0 mm²), both 1.6 m long, hang side by side and hold up…
    • HardA steel cable 75 m long hangs straight down a deep well, holding nothing but itself…
    • HardA 1200 kg satellite orbits 420 km up. Over some weeks, the thin air takes 2.0 × 10⁸ J of its energy…
    • HardA uniform disc of mass 3.0 kg rolls without slipping down a slope at 35°…
    More Physics problems for WBJEE →

    Chemistry

    Questions

    • HardRank Cl₂O, H₂O and OF₂ by bond angle, from the largest.
    • HardRank the four chloromethanes by dipole moment, from the largest.
    More Chemistry questions for WBJEE →

    Problems with worked solutions

    • HardFor N₂O₄(g) ⇌ 2NO₂(g), Δ H° = +57.2 kJ/mol and Δ S° = +175.8 J/(K mol)…
    • HardBreaking one mole of CH₄(g) into atoms takes 1665 kJ…
    • HardThe water-gas shift has Δ G° = -28.6 kJ mol⁻¹ at 298 K…
    • HardEstimate Δf H of CO₂(g) from bond enthalpies for the structure O=C=O…
    • HardUse these values in kJ mol⁻¹ to find the lattice enthalpy of calcium chloride: sublimation of Ca…
    More Chemistry problems for WBJEE →

    Mathematics

    Questions

    • HardFor f(x) = x² - 2, how many real values of x satisfy f(f(x)) = x?
    More Mathematics questions for WBJEE →

    Problems with worked solutions

    • HardThree neighbours in a row of Pascal's triangle, ⁿC_(r - 1), ⁿCr and ⁿC_(r + 1), are in the ratio 1…
    • HardAll the arrangements of the letters of TIGER are listed in dictionary order…
    • HardThe equation x² + px + q = 0 has real p and q…
    • HardHow many real solutions does the equation sin x = x/10 have?
    • HardFind the period of f(x) = |sin x| + |cos x|…
    More Mathematics problems for WBJEE →
    • All 855 WBJEE problems →
    • All 1,368 WBJEE questions →
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